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Finding the Third Proportional to 161,328 and 256,254

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Solution

The third proportional to 161,328 and 256,254 is: 407,034.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,328 : 256,254 = 256,254 : x
  2. Step 2: Convert to fraction form
    161,328/256,254 = 256,254/x
  3. Step 3: Cross multiply
    161,328x = 256,254 × 256,254
  4. Step 4: Simplify right side
    161,328x = 65,666,112,516
  5. Step 5: Solve for x
    x = 65,666,112,516/161,328
  6. Step 6: Final answer
    x = 407,034.81

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.